Pith Number

pith:ZF5NJVG2

pith:1996:ZF5NJVG2JXL7I56TUYP2RZRXGT

not attested not anchored not stored refs pending

A recursion and a combinatorial formula for Jack polynomials

Friedrich Knop, Siddhartha Sahi

arxiv:q-alg/9610016 v1 · 1996-10-15 · q-alg · math.QA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZF5NJVG2JXL7I56TUYP2RZRXGT}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

Integrable systems inspired by DAHA and DIM algebra: type $C^\vee C$ versus type $A$

Receipt and verification

First computed	2026-07-04T15:09:09.612361Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c97ad4d4da4dd7f477d3a61fa8e63734ee9c2d0be3a145391ede33eecd504a34

Aliases

arxiv: q-alg/9610016 · arxiv_version: q-alg/9610016v1 · doi: 10.48550/arxiv.q-alg/9610016 · pith_short_12: ZF5NJVG2JXL7 · pith_short_16: ZF5NJVG2JXL7I56T · pith_short_8: ZF5NJVG2

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZF5NJVG2JXL7I56TUYP2RZRXGT \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: c97ad4d4da4dd7f477d3a61fa8e63734ee9c2d0be3a145391ede33eecd504a34

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f647557fba09be584d52a0e38bd9694677f01bf36f7bc813180e0a0893dbbae3",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "q-alg",
    "submitted_at": "1996-10-15T04:31:15Z",
    "title_canon_sha256": "3e930ecc717b040bb93cf1343dc49439dde7b473463717cfac094ec87249fc9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "q-alg/9610016",
    "kind": "arxiv",
    "version": 1
  }
}